which expression is equivalent to 3^5 times 125 1/2
To solve this expression, we must simplify it step by step.
Step 1: Simplify the exponent. 3^5 is equal to 3 * 3 * 3 * 3 * 3, which equals 243.
Step 2: Multiply 243 by 125 1/2. To do this, we need to convert 125 1/2 to an improper fraction.
125 1/2 = 125 + 1/2 = 250/2 + 1/2 = 251/2.
Now, we can multiply 243 by 251/2:
243 * 251/2 = (243 * 251) / 2 = 60993 / 2.
Therefore, the expression 3^5 times 125 1/2 is equivalent to 60993/2.